1. The problem is to understand if we can multiply the expression $(4x+10)$ by 3 to get 15 as a common denominator on the left side. 2. When dealing with fractions or expressions, the common denominator is used to combine terms with different denominators. 3. Multiplying $(4x+10)$ by 3 means multiplying the entire expression by 3, not just the denominator. 4. If you want to get a common denominator of 15, you need to consider the denominators of the fractions involved, not multiply the numerator or the entire expression by 3. 5. For example, if you have fractions with denominators 5 and 3, the common denominator is 15 because $15 = 3 \times 5$. 6. Multiplying $(4x+10)$ by 3 changes the value of the expression, it does not create a common denominator. 7. To get a common denominator, you multiply the numerator and denominator of each fraction by the necessary factors to make the denominators equal. 8. Therefore, you cannot simply multiply $(4x+10)$ by 3 to get 15 as a common denominator on the left side. Final answer: No, you cannot multiply $(4x+10)$ by 3 to get 15 as a common denominator on the left side because the common denominator relates to denominators of fractions, not the entire expression.